Double pendulum induced stability

Bezdenejnykh, N.A. and Mateo Gabin, Andrés and Zazo Jiménez, Raúl (2015). Double pendulum induced stability. "International Journal of Applied Mechanics", v. 7 (n. 6); pp. 1-15. ISSN 1758-8251. https://doi.org/10.1142/S175882511550088X.

Description

Title: Double pendulum induced stability
Author/s:
  • Bezdenejnykh, N.A.
  • Mateo Gabin, Andrés
  • Zazo Jiménez, Raúl
Item Type: Article
Título de Revista/Publicación: International Journal of Applied Mechanics
Date: December 2015
ISSN: 1758-8251
Volume: 7
Subjects:
Faculty: E.T.S. de Ingeniería Aeronáutica y del Espacio (UPM)
Department: Aeronaves y Vehículos Espaciales
Creative Commons Licenses: Recognition - No derivative works - Non commercial

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Abstract

In this work, a study of the relative equilibrium of a double pendulum whose point of suspension performs high frequency harmonic vibrations is presented. In order to determine the induced positions of equilibrium of the double pendulum at different gravity and vibration configurations, a set of experiments has been conducted. The theoretical analysis of the problem has been developed using Kapitsa?s method and numerical method. The method of Kapitsa allows to analyze the potential energy of a system in general and to find the values of the parameters of the problem that correspond to the relative extreme of energy ? positions of stable or unstable equilibrium. The results of numerical and theoretical analysis of Hamilton equations are in good agreement with the results of the experiments.

More information

Item ID: 41269
DC Identifier: http://oa.upm.es/41269/
OAI Identifier: oai:oa.upm.es:41269
DOI: 10.1142/S175882511550088X
Official URL: http://www.worldscientific.com/doi/10.1142/S175882511550088X
Deposited by: Memoria Investigacion
Deposited on: 27 Sep 2016 11:22
Last Modified: 01 Jan 2017 23:30
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